Question

Use the counting principle to determine the number of elements in the sample space Two digits are selected without replacement from the digits 1,2,3,4,5,6

Answer 1

Given:

Sample space, S = {1, 2, 3, 4, 5, 6}

Required: Number of two digits from the set S without replacement

Step-by-step explanation:

Starting from the left, the first digit have 6 choices. The first digit can be any of the numbers in the set S.

Since it is without replacement, the number of digits from which the second digit can be chosen is 6 - 1 =5.

Number of possible 2 digits

`\begin{gathered} =6*5 \\ =30 \end{gathered}`

Final Answer: Number of possible two digits = 30